The height ofthe saddle ofa horse above the base ofa carousel can be modeled 4t by the equation f-rr) : 12 sin ^ r 42, where I represents seconds after the ride started. I How much time does to take for the horse to complete one cycle of motion and return to its starting height. What is the maximum height and the minimum height ofthe horse's saddle above the base ofthe carousel

(a) The time to complete 1 cycle and return is 16/3

(b) The minimum height is 30 inches and the maximum is 54 inches

Step-by-step explanation:

Given

Solving (a): Time to complete 1 cycle and return

This implies that we calculate the period.

This is calculated using:

Where:

So, we have:

Rewrite as:

Solving (b): The maximum and the minimum height

To do this, we have:

Which means:

So, the maximum and the minimum of are:

--- minimum

--- maximum

Given that:

So, the minimum height is:

The maximum is:

what does x eaqual

step-by-step explanation:

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.